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On extensions of Frobenius-Kähler and Sasakian Lie algebras
Published 20 Aug 2024 in math.RA and math.DG | (2408.11236v2)
Abstract: Extensions of Lie algebras equipped with Sasakian or Frobenius-K\"ahler geometrical structures are studied. Conditions are given so that a double extension of a Sasakian Lie algebra be Sasakian again. Conditions are also given for obtaining either a Sasakian or a Frobernius-K\"ahler Lie algebra upon respectively extending a Frobernius-K\"ahler or a Sasakian Lie algebra by adjoining a derivation of the source algebra. Low-dimensional examples are included.
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